Bayesian analysis of Laser Interferometer Space Antenna (LISA) data sets based on Markov chain Monte Carlo methods has been shown to be a challenging problem, in part due to the complicated structure of the likelihood function consisting of several isolated local maxima that dramatically reduces the efficiency of the sampling techniques. Here we introduce a new fully Markovian algorithm, a delayed rejection Metropolis-Hastings Markov chain Monte Carlo method, to efficiently explore these kind of structures and we demonstrate its performance on selected LISA data sets containing a known number of stellar-mass binary signals embedded in Gaussian stationary noise.
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Nankai Univ, Sch Stat & Data Sci, NITFID, 94 Weijin Rd, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, NITFID, 94 Weijin Rd, Tianjin 300071, Peoples R China
Cao, Xuefei
Wang, Shijia
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ShanghaiTech Univ, Inst Math Sci, 393 Middle Huaxia Rd, Shanghai 201210, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, NITFID, 94 Weijin Rd, Tianjin 300071, Peoples R China
Wang, Shijia
Zhou, Yongdao
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Nankai Univ, Sch Stat & Data Sci, NITFID, 94 Weijin Rd, Tianjin 300071, Peoples R ChinaNankai Univ, Sch Stat & Data Sci, NITFID, 94 Weijin Rd, Tianjin 300071, Peoples R China